‘The Equator–Pole grid system’: an overset grid system for the sphere, with an optimal uniformity property

An overset grid method for the study of reflex tearing.

We present an overset grid method to simulate the evolution of human tear film thickness subject to reflex tearing. The free-surface evolution is governed by a single fourth-order non-linear equation derived from lubrication theory with specified film thickness and volume flux at each end. The model arises from considering the limiting case where the surfactant is strongly affecting the surface...

An overset grid method coupling an orthogonal curvilinear grid solver and a Cartesian grid solver

Optimized Schwarz methods in spherical geometry with an overset grid system

In recent years, much attention has been given to domain decomposition methods for solving linear elliptic problems that are based on a partitioning of the domain of the physical problem. More recently, a new class of Schwarz methods known as optimized Schwarz methods was introduced to improve the performance of the classical Schwarz methods. In this paper, we investigate the performance of thi...

An overset-grid method for 3D unsteady incompressible flows

A composite-grid numerical method is developed for simulating unsteady, three-dimensional (3D), incompressible flows in complex geometries. The governing equations are solved using a second-order accurate, finite-volume method based on the dual time-stepping artificial compressibility approach. Overset grids are employed to discretize arbitrarily complex geometries, and a new interface algorith...

An Analysis of Performance Enhancement Techniques for Overset Grid Applications

The overset grid methodology has significantly reduced time-to-solution of high-fidelity computational fluid dynamics (CFD) simulations about complex aerospace configurations. The solution process resolves the geometrical complexity of the problem domain by using separately generated but overlapping structured discretization grids that periodically exchange information through interpolation. Ho...